How to solve projectile launched at an angle

This video is a detailed tutorial for solving a projectile problem where the object is launched at an angle above the ground, and the start and end points are of the same height.
Related playlist: • Projectile Motion
Timestamps:
3:20 - Solving for the projectile’s POSITION at a certain time
15:53 - Solving for the projectile’s VELOCITY at a certain time
25:26 - Solving for the projectile’s MAXIMUM HEIGHT
34:05 - Solving for the TIME the maximum height was reached
38:57 - Solving for the RANGE of the projectile
47:49 - Solving for the VELOCITY BEFORE HITTING THE GROUND
Copy of the problem:
1) A batter hits a baseball which leaves the bat at a speed v0 = 35.0 m/s at an angle θ = 54.3°.
(a) Determine the position and velocity of the ball at 1.50 s.
(b) Solve for the maximum height reached by the ball, and the time when the ball reaches this highest point.
(c) Solve for the range of the ball.
(d) Determine the ball’s velocity just before it hits the ground.
Then lastly, this document shows how to derive the formula for a projectile's range (requires knowledge of some trigonometric functions):
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[@bite-sizedphysics137]

For 50:12, the unit for initial vertical velocity must be "m/s", definitely not "m" (typo error).